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Finding the Fourth Proportional to 35,213.17, 48,598.83 and 20,102.42

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Solution

The fourth proportional to 35,213.17, 48,598.83 and 20,102.42 is: 27,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,213.17 : 48,598.83 = 20,102.42 : x
  2. Step 2: Convert to fraction form
    35,213.17/48,598.83 = 20,102.42/x
  3. Step 3: Cross multiply
    35,213.17x = 48,598.83 × 20,102.42
  4. Step 4: Simplify right side
    35,213.17x = 976,953,849.17
  5. Step 5: Solve for x
    x = 976,953,849.17/35,213.17
  6. Step 6: Final answer
    x = 27,743.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.